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Finding the Fourth Proportional to 96,298.47, 132,928.83 and 86,209.11

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Solution

The fourth proportional to 96,298.47, 132,928.83 and 86,209.11 is: 119,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,298.47 : 132,928.83 = 86,209.11 : x
  2. Step 2: Convert to fraction form
    96,298.47/132,928.83 = 86,209.11/x
  3. Step 3: Cross multiply
    96,298.47x = 132,928.83 × 86,209.11
  4. Step 4: Simplify right side
    96,298.47x = 11,459,676,127.64
  5. Step 5: Solve for x
    x = 11,459,676,127.64/96,298.47
  6. Step 6: Final answer
    x = 119,001.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.